Find the centroid of the region bounded by the graphs of the functions y=6sin⁡(x),y=14x,andx=π2\displaystyle {y}={6}{\sin{{\left({x}\right)}}},{y}=\frac{{1}}{{4}}{x},{\quad\text{and}\quad}{x}=\frac{\pi}{{2}}

The centroid is at (x‾,y‾)\displaystyle {\left(\overline{{x}},\overline{{y}}\right)} where

x‾\displaystyle \overline{{x}} =  
y‾\displaystyle \overline{{y}} =  

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